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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_variancereduction.wasp
Title produced by softwareVariance Reduction Matrix
Date of computationThu, 22 Nov 2007 02:36:45 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2007/Nov/22/t1195723783a2txc7l53su9zpo.htm/, Retrieved Thu, 02 May 2024 17:33:58 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=5923, Retrieved Thu, 02 May 2024 17:33:58 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact219

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Variance Reduction Matrix] [Varience reductio...] [2007-11-22 09:36:45] [2cdb7403ed3391afb545b8c0d20da37e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
513
503
471
471
476
475
470
461
455
456
517
525
523
519
509
512
519
517
510
509
501
507
569
580
578
565
547
555
562
561
555
544
537
543
594
611
613
611
594
595
591
589
584
573
567
569
621
629
628
612
595
597
593
590
580
574
573
573
620
626
620
588
566
557
561
549
532
526
511
499
555
565
542

Tables (Output of Computation)





Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\begin{tabular}{lllllllll}
\hline
Summary of compuational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=5923&T=0

[TABLE]
[ROW][C]Summary of compuational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=5923&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5923&T=0

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Variance Reduction Matrix
V(Y[t],d=0,D=0)2154.09893455099Range174Trim Var.1554.13846153846
V(Y[t],d=1,D=0)360.27210485133Range94Trim Var.142.696180555556
V(Y[t],d=2,D=0)552.008853118712Range121Trim Var.246.393753200205
V(Y[t],d=3,D=0)1357.84451345756Range179Trim Var.572.758593336859
V(Y[t],d=0,D=1)1313.61530054645Range133Trim Var.854.637155297533
V(Y[t],d=1,D=1)51.0666666666667Range39Trim Var.27.4840348330914
V(Y[t],d=2,D=1)85.3798947983635Range42Trim Var.53.2503628447025
V(Y[t],d=3,D=1)229.884150030248Range64Trim Var.154.701357466063
V(Y[t],d=0,D=2)584.651360544218Range123Trim Var.294.12292358804
V(Y[t],d=1,D=2)102.754875886525Range50Trim Var.56.0679442508711
V(Y[t],d=2,D=2)179.539315448659Range59Trim Var.111.760975609756
V(Y[t],d=3,D=2)488.551207729469Range90Trim Var.302.512179487179

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 2154.09893455099 & Range & 174 & Trim Var. & 1554.13846153846 \tabularnewline
V(Y[t],d=1,D=0) & 360.27210485133 & Range & 94 & Trim Var. & 142.696180555556 \tabularnewline
V(Y[t],d=2,D=0) & 552.008853118712 & Range & 121 & Trim Var. & 246.393753200205 \tabularnewline
V(Y[t],d=3,D=0) & 1357.84451345756 & Range & 179 & Trim Var. & 572.758593336859 \tabularnewline
V(Y[t],d=0,D=1) & 1313.61530054645 & Range & 133 & Trim Var. & 854.637155297533 \tabularnewline
V(Y[t],d=1,D=1) & 51.0666666666667 & Range & 39 & Trim Var. & 27.4840348330914 \tabularnewline
V(Y[t],d=2,D=1) & 85.3798947983635 & Range & 42 & Trim Var. & 53.2503628447025 \tabularnewline
V(Y[t],d=3,D=1) & 229.884150030248 & Range & 64 & Trim Var. & 154.701357466063 \tabularnewline
V(Y[t],d=0,D=2) & 584.651360544218 & Range & 123 & Trim Var. & 294.12292358804 \tabularnewline
V(Y[t],d=1,D=2) & 102.754875886525 & Range & 50 & Trim Var. & 56.0679442508711 \tabularnewline
V(Y[t],d=2,D=2) & 179.539315448659 & Range & 59 & Trim Var. & 111.760975609756 \tabularnewline
V(Y[t],d=3,D=2) & 488.551207729469 & Range & 90 & Trim Var. & 302.512179487179 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=5923&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]2154.09893455099[/C][C]Range[/C][C]174[/C][C]Trim Var.[/C][C]1554.13846153846[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]360.27210485133[/C][C]Range[/C][C]94[/C][C]Trim Var.[/C][C]142.696180555556[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]552.008853118712[/C][C]Range[/C][C]121[/C][C]Trim Var.[/C][C]246.393753200205[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]1357.84451345756[/C][C]Range[/C][C]179[/C][C]Trim Var.[/C][C]572.758593336859[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]1313.61530054645[/C][C]Range[/C][C]133[/C][C]Trim Var.[/C][C]854.637155297533[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]51.0666666666667[/C][C]Range[/C][C]39[/C][C]Trim Var.[/C][C]27.4840348330914[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]85.3798947983635[/C][C]Range[/C][C]42[/C][C]Trim Var.[/C][C]53.2503628447025[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]229.884150030248[/C][C]Range[/C][C]64[/C][C]Trim Var.[/C][C]154.701357466063[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]584.651360544218[/C][C]Range[/C][C]123[/C][C]Trim Var.[/C][C]294.12292358804[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]102.754875886525[/C][C]Range[/C][C]50[/C][C]Trim Var.[/C][C]56.0679442508711[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]179.539315448659[/C][C]Range[/C][C]59[/C][C]Trim Var.[/C][C]111.760975609756[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]488.551207729469[/C][C]Range[/C][C]90[/C][C]Trim Var.[/C][C]302.512179487179[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=5923&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5923&T=1

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Variance Reduction Matrix
V(Y[t],d=0,D=0)2154.09893455099Range174Trim Var.1554.13846153846
V(Y[t],d=1,D=0)360.27210485133Range94Trim Var.142.696180555556
V(Y[t],d=2,D=0)552.008853118712Range121Trim Var.246.393753200205
V(Y[t],d=3,D=0)1357.84451345756Range179Trim Var.572.758593336859
V(Y[t],d=0,D=1)1313.61530054645Range133Trim Var.854.637155297533
V(Y[t],d=1,D=1)51.0666666666667Range39Trim Var.27.4840348330914
V(Y[t],d=2,D=1)85.3798947983635Range42Trim Var.53.2503628447025
V(Y[t],d=3,D=1)229.884150030248Range64Trim Var.154.701357466063
V(Y[t],d=0,D=2)584.651360544218Range123Trim Var.294.12292358804
V(Y[t],d=1,D=2)102.754875886525Range50Trim Var.56.0679442508711
V(Y[t],d=2,D=2)179.539315448659Range59Trim Var.111.760975609756
V(Y[t],d=3,D=2)488.551207729469Range90Trim Var.302.512179487179


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 12 ;
Parameters (R input):
par1 = 12 ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
n <- length(x)
sx <- sort(x)
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Variance Reduction Matrix',6,TRUE)
a<-table.row.end(a)
for (bigd in 0:2) {
for (smalld in 0:3) {
mylabel <- 'V(Y[t],d='
mylabel <- paste(mylabel,as.character(smalld),sep='')
mylabel <- paste(mylabel,',D=',sep='')
mylabel <- paste(mylabel,as.character(bigd),sep='')
mylabel <- paste(mylabel,')',sep='')
a<-table.row.start(a)
a<-table.element(a,mylabel,header=TRUE)
myx <- x
if (smalld > 0) myx <- diff(x,lag=1,differences=smalld)
if (bigd > 0) myx <- diff(myx,lag=par1,differences=bigd)
a<-table.element(a,var(myx))
a<-table.element(a,'Range',header=TRUE)
a<-table.element(a,max(myx)-min(myx))
a<-table.element(a,'Trim Var.',header=TRUE)
smyx <- sort(myx)
sn <- length(smyx)
a<-table.element(a,var(smyx[smyx>quantile(smyx,0.05) & smyxa<-table.row.end(a)
}
}
a<-table.end(a)
table.save(a,file='mytable.tab')